AP® 66. A particle moves along the x-axis so that its velocity at
time t is given by v(t) = 3t2-9t+ 6. At time t = 0 the
particle is located at s(0) = 5.
(a) Find the total distance traveled by the particle during
the time interval [0,2].
(b) Find the position function s(t) corresponding to the
motion of this particle.